Information on Result #673569
Linear OA(2255, 283, F2, 107) (dual of [283, 28, 108]-code), using construction X applied to Ce(110) ⊂ Ce(94) based on
- linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- linear OA(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(220, 27, F2, 11) (dual of [27, 7, 12]-code), using
- residual code [i] based on linear OA(243, 51, F2, 23) (dual of [51, 8, 24]-code), using
- concatenation of two codes [i] based on
- residual code [i] based on linear OA(243, 51, F2, 23) (dual of [51, 8, 24]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2254, 282, F2, 106) (dual of [282, 28, 107]-code) | [i] | Truncation | |
| 2 | Linear OA(2253, 281, F2, 105) (dual of [281, 28, 106]-code) | [i] | ||
| 3 | Linear OA(2252, 280, F2, 104) (dual of [280, 28, 105]-code) | [i] | ||